Answer:
Statements: Reasons:
1) ∠2 and ∠4 are vertical angles given
2) limes <em>m </em>and <em>n </em>intersect at <em>P </em>definition of vertical angles
3) ∠3 and ∠4 are linear pair definition of linear pair
4) ∠2 and ∠3 are linear pair definition of linear pair
5) m∠3 + m∠4 =180 angle addition postulate
6) m∠2 + m∠3 =180 angle addition postulate
7) m∠2 + m∠3 = m∠3 + m∠4 substitution property
8) m∠2 = m∠4 subtraction property
9) ∠2 ≅ ∠4 definition of congruent(≅) angles
A bag has 5 red marbles, 6 blue marbles and 4 black marbles
so total no. of marbles = 5 + 6 + 4 = 15
now probability of picking a black marble = 4/15
after replacement again probability of picking black marble is 4/15
it is given that black marble is picked two times
so probability of picking black marble two times or picking , replacing , and then picking is 4/15*4/15 = 16/225
Answer:
y=1/4x
Step-by-step explanation:
y=mx+b
m=1/4
so, y=1/4x+b
Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).
So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.
(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.
y=1/4x+0
Answer:
-19
Step-by-step explanation:
f(x)=5x+1
F(-4) - substitute -4 as the x
F(-4)=5(-4)+1
F(-4) = -20 + 1
f(-4) = -19
